The two-dimensional heat equation with nonlocal boundary conditions

Differential Equations ◽

10.1007/bf02754498 ◽

2000 ◽

Vol 36 (7) ◽

pp. 982-987 ◽

Author(s):

N. I. Ionkin ◽

V. A. Morozova

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Two Dimensional

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Corrigendum to “Exponential stabilization of the semilinear heat equation with nonlocal boundary conditions” [J. Math. Anal. Appl. 492 (2) (2020) 124512]

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.124941 ◽

2021 ◽

Vol 498 (1) ◽

pp. 124941

Author(s):

Ionuţ Munteanu

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Exponential Stabilization ◽

Semilinear Heat Equation

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Unbounded perturbations of two-dimensional diffusion processes with nonlocal boundary conditions

Doklady Mathematics ◽

10.1134/s1064562407060221 ◽

2007 ◽

Vol 76 (3) ◽

pp. 891-895 ◽

Author(s):

P. L. Gurevich

Keyword(s):

Boundary Conditions ◽

Diffusion Processes ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Two Dimensional ◽

Dimensional Diffusion

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On the determination of unknown source in the heat equation with nonlocal boundary conditions

Ukrainian Mathematical Journal ◽

10.1007/bf01060166 ◽

1995 ◽

Vol 47 (10) ◽

pp. 1647-1652 ◽

Author(s):

N. I. Ivanchov

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

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Hybrid Numerical Method for Heat Equation with Nonlocal Boundary Conditions in Parallel Computing Environment

Research Journal of Applied Sciences Engineering and Technology ◽

10.19026/rjaset.7.325 ◽

2014 ◽

Vol 7 (4) ◽

pp. 832-838

Author(s):

S.A. Mardan ◽

M.A. Rehman

Keyword(s):

Parallel Computing ◽

Boundary Conditions ◽

Heat Equation ◽

Numerical Method ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Computing Environment ◽

Hybrid Numerical Method

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An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2661 ◽

2012 ◽

Vol 36 (9) ◽

pp. 1056-1069 ◽

Author(s):

Mokhtar Kirane ◽

Salman A. Malik ◽

Mohammed A. Al-Gwaiz

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Inverse Source Problem ◽

Two Dimensional ◽

Time Fractional Diffusion Equation

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Numerical solution of two-dimensional elliptic PDEs with nonlocal boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.12.003 ◽

2015 ◽

Vol 69 (3) ◽

pp. 180-205 ◽

Author(s):

Siraj-ul-Islam ◽

Imran Aziz ◽

Masood Ahmad

Keyword(s):

Boundary Conditions ◽

Numerical Solution ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Elliptic Pdes ◽

Two Dimensional

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Optimization, conditioning and accuracy of radial basis function method for partial differential equations with nonlocal boundary conditions—A case of two-dimensional Poisson equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2013.01.009 ◽

2013 ◽

Vol 37 (4) ◽

pp. 788-804 ◽

Author(s):

Svaju⌢nas Sajavičius

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Two Dimensional ◽

Radial Basis Function Method

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Inverse time-dependent source problems for the heat equation with nonlocal boundary conditions

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.059 ◽

2019 ◽

Vol 346 ◽

pp. 800-815

Author(s):

A. Hazanee ◽

D. Lesnic ◽

M.I. Ismailov ◽

N.B. Kerimov

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

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Exact and approximation product solutions form of heat equation with nonlocal boundary conditions using Ritz-Galerkin method with Bernoulli polynomials basis

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22136 ◽

2017 ◽

Vol 33 (4) ◽

pp. 1143-1158 ◽

Author(s):

Z. Barikbin ◽

E. Keshavarz Hedayati

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Galerkin Method ◽

Nonlocal Boundary ◽

Bernoulli Polynomials ◽

Nonlocal Boundary Conditions

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On the Heat Equation with Nonlinear and Nonlocal Boundary Conditions

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1995.1113 ◽

1995 ◽

Vol 190 (3) ◽

pp. 806-820 ◽

Author(s):

B. Jumarhon ◽

S. Mckee

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions

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